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Journal of Xi'an University of Arts and Science

On the Properties of Sum-Squeezing of Multimode Superposition State Light Field with the Superposition of Two Symmetrical Quantum States in Medium

Xiaowei Han

Published Jan 1, 2008• 0 citations
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Abstract

By using the theory of multimode squeezed states,the properties of unequal-power Nj-th power sum-squeezing of multimode superposition state light field |ψ(α)q with the superposition of two quantum states in medium was studied.It was found that when the sum of the squeezing power of each mode was even number,the multimode superposition state light field |ψ(α)q was always in Nj minimum uncertainty state;when the sum of the squeezing orders of each mode was odd number,under some conditions,the multimode superposition state light field |ψ(α)q could also present Nj-th power sum-squeezing that changed periodically in medium.

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By using the theory of multimode squeezed states,the properties of unequal-power Nj-th power sum-squeezing of multimode superposition state light field |ψ(α)q with the superposition of two quantum states in medium was studied.It was found that when the sum of the squeezing power of each mode was even number,the multimode superposition state light field |ψ(α)q was always in Nj minimum uncertainty state;when the sum of the squeezing orders of each mode was odd number,under some conditions,the multimode superposition state light field |ψ(α)q could also present Nj-th power sum-squeezing that changed periodically in medium.
The properties of unequal-power Nj-th power H-squeezing of a kind of multimode superposition state light field Ψ(2)〉q with the superposition of two states are studied in detail.It is found that,when the sum of the squeezing orders of each mode is even number,the multimode superposition state light field Ψ(2)〉q is always in Nj minimum uncertainty state;when the sum of the squeezing orders of each mode is odd number,under some conditions the multimode superposition state light field Ψ(2)〉q can also present Nj-th power H-squeezing that changes periodically.
On the basis of reference 2, the paper probes the squeezing effects of unequal-order higher-power Y-squeezing in the second kind of multimode superposition state light field with the superposition of two quantum state by using the definition of multimode squeezing. It is found that when the the squeezing orders of each mode is even number, the state |Ψ (2) 2 q is always in N j-Y minimum uncertainty state; when the squeezing orders of each mode is odd number, under some conditions the state |Ψ (2) 2 q can also present N j-th power Y-squeezing that changes periodically; the result of reference 2 is only a particular example under the certain condition N j=N of this paper's universal results.
In the paper,the properties of unequal-even-power N j-th power Y-squeezing in the first kind of asymmetrical multimode superposition state light field |Ψ I (ab) q  with the superposition of distinct two quantum states is studied in detail.It is found that if the squeezed power number N j is an even number,under some certain conditions the state  |Ψ I (ab) q  can display the effects of unequal-power N j-th power Y-squeezing that changes periodically.the result of even-power N-th power Y-squeezing of state  |Ψ I (ab) q  is only a particular example under the certain condition N j=N of this papers universal result.
In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}q and its contrary state |{-fj(x,y,z)}q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.